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Finding the Third Proportional to 107,265 and 160,848

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Solution

The third proportional to 107,265 and 160,848 is: 241,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265 : 160,848 = 160,848 : x
  2. Step 2: Convert to fraction form
    107,265/160,848 = 160,848/x
  3. Step 3: Cross multiply
    107,265x = 160,848 × 160,848
  4. Step 4: Simplify right side
    107,265x = 25,872,079,104
  5. Step 5: Solve for x
    x = 25,872,079,104/107,265
  6. Step 6: Final answer
    x = 241,197.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.